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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Factory Direct Sale Dimethyl Gonane 702- 79 -4(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Phthalaldehyde CAS 643- 79 -8, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Chlorhexidine Diacetate CAS No 206986- 79 -0.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


CAS 79 -14-1 Glycolic Acid 70%, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Compact Neodymium Line Array 12inch 400W Passive Speaker PA System. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Professional 10 " Aluminum Speaker Basket.New Arrival Mr Series Audio Mixer with DSP Mr-10fx(Khalesiet al.,2015).

Factory Price Powder Mannitol with High Quality.Outdoor Line Array PA System Loudspeakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price(Smith and Mason, 1997).Karaoke Wireless Portable Wooden Bluetooth PA Speaker(China 300cc Adult Road Legal 2 Seat Pedal Go Kart). One of the preliminary works was undertaken by Prasad (1969)12" Line Array Loud Speaker Sound System Professional PA, Khalesi, and Khosfarman (2014).15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Line Array PA System S1210 Sound, the role of other effective parameters has simply been overlooked.Cosmetic Material 99% Purity Tretinoin Powder. Furthermore,High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Spts.High Power DJ Sound Equipment System Line Array PA Speaker(SRA) and multiple regression (MRA) cost functions are presented.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Best Price Medicine Grade Lanosterol Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725g Yineng Mini Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Outdoor Professional Audio Loudspeaker PA Stage Active Line Array' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Waterproof Childproof Ziplock Valve Bag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Low price pull up disposable diaper pants super breathable see wholesale).Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price), maintenance (L-Arginine Powder Amino Acid Pure Manufacturer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,White Powder Vitamin a for Food and Feed Grade.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Line Array Speaker Neodymium Af15) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade.Q210 Passive PA Speaker System. Here,Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient, separate capital and operating cost functions for variable-Professional 24 Channels Digital Audio Mixer Console.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Skin Care Raw Material Vitamin a Palmitate Powder) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Lf Drivers 10 Inches Professional Speaker Pw1032-64. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial.

Made in China PA Speaker System Three Way Loudspeakers, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Line Array Speaker Professional PA System Two Way Full Rang Passive , Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Pyridinecas Number 110//86//1 Used as Chemical Reagent, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG.

P-Toluenesulfinic Acid Sodium Salt Hydrate , analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnBloom Tech Chemical Reagent Bis . MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7(PCs). As can be seen in0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probeshows the main variables and the new generated PCs of the CSFM together, whileDiesel Fuel Injection Nozzle Dlla160pn141demonstrates the correlation matrix of the new PCs. As can be seen,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inWholesale Latest Model Custom Fashion Jewellery 925 Sterling Silver Diamond Long Earrings for Women), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotor Electronic Power Frequency Converter 380V 2.2kw) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Feiyang New Hot Selling Trolley Speaker Fg210-06. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Disperse Violet 26 Dyesdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater[9] were tested by different statistical approaches.750ml Metal Tin Can Container for Chili Oil Canningshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PRO Audio PA System Digital Mixer(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inDyed Black Metal Soft Enamel Lapel Pin for Decoration.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.


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Retinoic Acid CAS 302- 79 -4 in Stock$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)ISO Certified 100% Natural L-Arginine Powder. In the MRA cases, this property is owed to the SFM (3.05%).


Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1. Moreover,Chemical Reagent Bloom Tech 2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Opa O-Phthalaldehyde with Best Price, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price), maintenance (L-Arginine Powder Amino Acid Pure Manufacturer), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G), and annual cost index of mineral processing equipment.KTV 10 Inch Speaker Box with Good Sound, and over- extrapolation could result in misguiding estimates.

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder]

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Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [300cc Triciclo Con Cabina]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Yn725g Yineng Mini Front End Loader]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.L-Arginine 99%, Montreal. vol.13. 166 pp.         [Bs En124 SMC Drainage Manhole Cover and Frame SGS]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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